Question: I'm currently working on this problem using R studio: Refer to the gambler's dispute of 1654 problem on page 109 of Dobrow (problem 3.5) in

I'm currently working on this problem using R studio: Refer to the gambler's dispute of 1654 problem on page 109 of Dobrow (problem 3.5) in which

we are trying to nd the probability of obtaining at least one "double six" in throwing a pair

of dice 24 times. We found that probability to be

P(at least 1 double six) = 1 (35/36)^24= .4914

(a) Simulate the gambler's dispute of 1654 and calculate the estimated probability of obtaining at least one "double six" in throwing a pair of dice 24 times. Run this experiment

for a simulation size of 1,000 and compute the empirical probability.

(b) Compare your estimated probability with the true probability

And I put the following code into my R terminal:

n <- 0

success <- 0

for (i in 1:n){

x <- replicate(24, sample(2:12, 1, replace = TRUE))

if(12%in%x==TRUE){

success <- success + 1

}

}

But it's giving me a very weird probability, would you show me the correct code I need and how to do it?

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